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Finding the Third Proportional to 692,347.50 and 1,048,069.13

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Solution

The third proportional to 692,347.50 and 1,048,069.13 is: 1,586,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,347.50 : 1,048,069.13 = 1,048,069.13 : x
  2. Step 2: Convert to fraction form
    692,347.50/1,048,069.13 = 1,048,069.13/x
  3. Step 3: Cross multiply
    692,347.50x = 1,048,069.13 × 1,048,069.13
  4. Step 4: Simplify right side
    692,347.50x = 1,098,448,890,778.27
  5. Step 5: Solve for x
    x = 1,098,448,890,778.27/692,347.50
  6. Step 6: Final answer
    x = 1,586,557.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.